Yes, religion is another political entity that manifests in patriarchal society. Patriarchal society being an expression of capitalism and imperialism doesn’t mean that patriarchal expression cannot come from other sources, only that capitalism and imperialism themselves are inherently patriarchal and thus opposition to them is inherently oppositional to patriarchal society.

It gets deeper into theory that if one isn’t in opposition to patriarchy while saying that they oppose capitalism/imperialism is someone who isn’t in actuality opposed to those systems as they still support the mechanisms of social interaction (gender norms and all that) that reinforce those systems but that’s, like I said, getting into much deeper political theory that I don’t have the books on hand to quote from.

It’s intersectional. These things all play on each other and it gets complicated.